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Finding the Fourth Proportional to 415.27, 622.49 and 184.28

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Solution

The fourth proportional to 415.27, 622.49 and 184.28 is: 276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.27 : 622.49 = 184.28 : x
  2. Step 2: Convert to fraction form
    415.27/622.49 = 184.28/x
  3. Step 3: Cross multiply
    415.27x = 622.49 × 184.28
  4. Step 4: Simplify right side
    415.27x = 114,712.46
  5. Step 5: Solve for x
    x = 114,712.46/415.27
  6. Step 6: Final answer
    x = 276.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.